Number Partition Explorer

A partition of n is a way to write n as a sum of positive integers (order doesn't matter). The partition function p(n) grows astonishingly fast — and Ramanujan found an asymptotic formula.

Young Tableau (Ferrer's Diagram)

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All Partitions of n=12

p(12) = ? partitions

p(n) growth with Ramanujan asymptotic: p(n) ~ exp(π√(2n/3)) / (4n√3)